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Finding the Fourth Proportional to 444.29, 613.15 and 267.26

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Solution

The fourth proportional to 444.29, 613.15 and 267.26 is: 368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.29 : 613.15 = 267.26 : x
  2. Step 2: Convert to fraction form
    444.29/613.15 = 267.26/x
  3. Step 3: Cross multiply
    444.29x = 613.15 × 267.26
  4. Step 4: Simplify right side
    444.29x = 163,870.47
  5. Step 5: Solve for x
    x = 163,870.47/444.29
  6. Step 6: Final answer
    x = 368.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.